If the equations `x^(2) - ax + b = 0 and x^(2) + bx - a = 0` have a common root, then

If the equations x^(2) + ax + bc = 0 and x^(2) + bx + ca = 0 have a common root, then their other roots satisfy the equation

For a ne b, if the equation x ^(2) + ax + b =0 and x ^(2) + bx + a =0 have a common root, then the value of a + b equals to:

If the equation ax^(2) + bx + c = 0 and 2x^(2) + 3x + 4 = 0 have a common root, then a : b : c

If the equation ax^(2) + bx + c = 0 and 2x^(2) + 3x + 4 = 0 have a common root, then a : b : c

If the equations x^2 + 2x + 3 = 0 and ax^2 + bx + + c = 0 have common root, then a : b : c is _____

If the equations ax^2 + bx + c = 0 and x^3 + x - 2 = 0 have two common roots then show that 2a = 2b = c .

If a,b,c, in R and equations ax^(2) + bx + c =0 and x^(2) + 2x + 9 = 0 have a common root then

If a,b,c, in R and equations ax^(2) + bx + c =0 and x^(2) + 2x + 9 = 0 have a common root then